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Classroom Contents
The Mathematical Foundations of Deep Learning: From Rating Impossibility to Practical Existence Theorems
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- 1 Introduction
- 2 Collaborators
- 3 AI Index Report
- 4 AI Subfields
- 5 Impact of Deep Learning
- 6 Computational Mathematics and Deep Learning
- 7 Deep Learning Skepticism
- 8 Mathematical Problems for the Next Century
- 9 Presentation Structure
- 10 Deep Neural Networks
- 11 Research Question
- 12 Can Deep Learning generalize
- 13 The connectionist
- 14 Notation
- 15 General Results
- 16 Tau
- 17 Training History
- 18 Approximation
- 19 Approximation with orthogonal polynomials
- 20 Approximation techniques
- 21 In practice
- 22 Compressed sensing
- 23 Recap
- 24 Research directions
- 25 Conclusion